Adrian works 20 hours per week and receives 190. what is the vonstant of proportionality

The constant of proportionality is 9.5

Explanation:

The relation we are given between the hours worked and the amount of money received is a direct proportional relation

A direct proportion relation between two quantities means that when one of the them increases, the other would increase with a fixed rate and vice versa

This relation is represented using the following general equation:

y = kx where k is the constant of proportionality

Now, we are given that:

Adrian works 20 hours (x = 20, independent variable) and earns $190 (y = 190, dependent variable)

We substitute with these givens in the general equation and solve for k

This is done as follows:

y = kx

190 = 20k

k = 9.5

This means that the constant of proportionality is 9.5

Additional information:

The constant of proportionality in this problem represents Adrian's hourly rate

The equation is:

Amount earned = Hourly rate * number of hours worked

We have:

y is the amount earned

k is the hourly rate (constant of proportionality)

x is the number of hours worked

The final equation is:

y = 9.5x

Hope this helps :)

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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